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3114304020 = 2232531896271
BaseRepresentation
bin1011100110100000…
…1000001000010100
322001001010000222100
42321220020020110
522334230212040
61233010202100
7140114101362
oct27150101024
98031100870
103114304020
111358a41783
1272ab83330
133a8295959
1421787c632
15133621b30
hexb9a08214

3114304020 has 144 divisors (see below), whose sum is σ = 9862594560. Its totient is φ = 794534400.

The previous prime is 3114304013. The next prime is 3114304021. The reversal of 3114304020 is 204034113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3114303984 and 3114304002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114304021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493485 + ... + 499755.

It is an arithmetic number, because the mean of its divisors is an integer number (68490240).

Almost surely, 23114304020 is an apocalyptic number.

3114304020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931297280).

3114304020 is an abundant number, since it is smaller than the sum of its proper divisors (6748290540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3114304020 is a wasteful number, since it uses less digits than its factorization.

3114304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3114304020 is about 55805.9496828071. The cubic root of 3114304020 is about 1460.3389498899.

Adding to 3114304020 its reverse (204034113), we get a palindrome (3318338133).

The spelling of 3114304020 in words is "three billion, one hundred fourteen million, three hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 89 90 93 124 155 178 180 186 267 279 310 356 372 445 465 534 558 620 801 890 930 1068 1116 1335 1395 1602 1780 1860 2670 2759 2790 3204 4005 5340 5518 5580 6271 8010 8277 11036 12542 13795 16020 16554 18813 24831 25084 27590 31355 33108 37626 41385 49662 55180 56439 62710 75252 82770 94065 99324 112878 124155 125420 165540 188130 194401 225756 248310 282195 376260 388802 496620 558119 564390 583203 777604 972005 1116238 1128780 1166406 1674357 1749609 1944010 2232476 2332812 2790595 2916015 3348714 3499218 3888020 5023071 5581190 5832030 6697428 6998436 8371785 8748045 10046142 11162380 11664060 16743570 17301689 17496090 20092284 25115355 33487140 34603378 34992180 50230710 51905067 69206756 86508445 100461420 103810134 155715201 173016890 207620268 259525335 311430402 346033780 519050670 622860804 778576005 1038101340 1557152010 3114304020